High-contrast computational caustic design
High-contrast computational caustic design
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DOI：
10.1145/2601097.2601200
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
Yuliy Schwartzburg;Romain Testuz;A. Tagliasacchi;M. Pauly
中科院分区：
文献类型：
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作者：
Yuliy Schwartzburg;Romain Testuz;A. Tagliasacchi;M. Pauly
我们提出了一个新的算法计算焦散设计。我们的算法解决了透明物体的形状，这样折射光在接收器屏幕上描绘出所需的焦散图像。我们引入了一个最佳的运输制定建立输入几何形状和未知的目标形状之间的对应关系。随后基于自适应离散化方案的3D优化从对应图中找到目标表面。我们的方法支持分片光滑表面和非双射映射，从而消除了以前方法的许多缺点。这导致焦散图像的空间明显更丰富，包括平滑过渡，无限光密度的奇点和完全黑色的区域。我们证明了我们的方法的有效性与几个模拟和制造的例子。
We present a new algorithm for computational caustic design. Our algorithm solves for the shape of a transparent object such that the refracted light paints a desired caustic image on a receiver screen. We introduce an optimal transport formulation to establish a correspondence between the input geometry and the unknown target shape. A subsequent 3D optimization based on an adaptive discretization scheme then finds the target surface from the correspondence map. Our approach supports piecewise smooth surfaces and non-bijective mappings, which eliminates a number of shortcomings of previous methods. This leads to a significantly richer space of caustic images, including smooth transitions, singularities of infinite light density, and completely black areas. We demonstrate the effectiveness of our approach with several simulated and fabricated examples.